ALMOST PRUFER v-MULTIPLICATION DOMAINS AND RELATED DOMAINS OF THE FORM D + D-S[Gamma*]

作者：Chang Gyu Whan; Lim Jung Wook^*

来源：Communications in Algebra, 2013, 41(7): 2650-2664.

DOI：10.1080/00927872.2012.660264

• Almost Prufer v-multiplication domain
• D+D-S [*]
• Numerical semigroup

Let D be an integral domain, S be a (saturated) multiplicative subset of D such that D?D-S, be a numerical semigroup with ?N-0, *=\{0}, X be an indeterminate over D, D+XDS[X]={a+XgD(S)[X]|aD and gD(S)[X]}, and D+D-S[*]={a+fD(S)[]|aD and fD(S)[*]}; so D+D-S[*]?D+XDS[X]. In this article, we study when D+D-S[*] is an APvMD, an AGCD-domain, an AS-domain, an AP-domain, or an AB-domain.

• 出版日期2013-5-28